Occurrence of pairwise energy level degeneracies in q,p-oscillator model

2008/05/27 by A. M. Gavrilik, A. P. Rebesh · 1 citation
Physics and Astronomy · Mathematics · #quant-ph #cond-mat.stat-mech #hep-th #math-ph #math.MP

paper · pdf

published as Ukr. J. Phys. 53 (2008) 586-594 · 9 pages, 6 figures, uses ujp.sty, to appear in Ukr. J. Phys

Abstract

It is demonstrated that a two-parameter deformed oscillator with the deformation parameters q,p such that 0 < q,p ≤ 1 exhibits the property of "accidental" two-fold (pairwise) energy level degeneracy of the classes E_m=E_m+1 and E₀=E_m. The most general case of degeneracy of q,p-oscillators of the form E_m+k=E_m (with k≥ 1 for m≥ 1 or k≥ 2 for m=0) is briefly discussed.

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